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Finding the Third Proportional to 8,582,663 and 12,028,580

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Solution

The third proportional to 8,582,663 and 12,028,580 is: 16,858,023.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582,663 : 12,028,580 = 12,028,580 : x
  2. Step 2: Convert to fraction form
    8,582,663/12,028,580 = 12,028,580/x
  3. Step 3: Cross multiply
    8,582,663x = 12,028,580 × 12,028,580
  4. Step 4: Simplify right side
    8,582,663x = 144,686,736,816,400
  5. Step 5: Solve for x
    x = 144,686,736,816,400/8,582,663
  6. Step 6: Final answer
    x = 16,858,023.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.